Zhao, Z. Subcriticality and gaugeability of the Schrödinger operator. (English) Zbl 0765.60063 Trans. Am. Math. Soc. 334, No. 1, 75-96 (1992). The Schrödinger operator \(H=-\Delta/2+V\) in \(R^ d\), \(d\geq 3\), with a potential \(V\) in the Kato class \(K_ d\) is considered and conditions on subcriticality, strong positivity and gaugeability of such operators are studied. It is shown that for large classes of potentials these conditions are equivalent. Various sufficient conditions of such equivalence are elaborated. Reviewer: G.Derfel (Beer-Sheva) Cited in 1 ReviewCited in 32 Documents MSC: 60H25 Random operators and equations (aspects of stochastic analysis) 60J65 Brownian motion 81S40 Path integrals in quantum mechanics Keywords:Feynman-Kac integral; Schrödinger operator; subcriticality; strong positivity; gaugeability PDFBibTeX XMLCite \textit{Z. Zhao}, Trans. Am. Math. Soc. 334, No. 1, 75--96 (1992; Zbl 0765.60063) Full Text: DOI